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Finding the Third Proportional to 303,752 and 709,700

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Solution

The third proportional to 303,752 and 709,700 is: 1,658,175.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    303,752 : 709,700 = 709,700 : x
  2. Step 2: Convert to fraction form
    303,752/709,700 = 709,700/x
  3. Step 3: Cross multiply
    303,752x = 709,700 × 709,700
  4. Step 4: Simplify right side
    303,752x = 503,674,090,000
  5. Step 5: Solve for x
    x = 503,674,090,000/303,752
  6. Step 6: Final answer
    x = 1,658,175.39

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.